<p>I wrote
at 5:04pm
Event horizons are effective singularities.</p>
<p>BoA theory effectively accounts for singularities (think of asymptotically approaches the Dirac Delta function from all directions in R^3)
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<p>I wrote
at 5:03pm
We’re talking about change here. So for a single individual, not in evolutionary theory.</p>
<p>But what if we think of a single genotype? In this case, the genotype does replicate. In this situation, new genotypes spring out from such genotypes and they tend to move towards basins of attraction (such as towards properties that a particular species has). These properties are influenced by selection pressures that help shape such basins of attraction and that help determine which species are most likely to survive in the environment (and the genotypes that tend to live on). The phenotypic expressions of such genotypes are the means through which the individual genotypes interact with the world.
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<p>X(no network) wrote
at 5:00pm
How do we define singularities in BoA? The Event Horizon should be rather obvious [what would be the equivalent Schwarzschild Radius? =D], but singularity is a bit more difficult.
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<p>X (no network) wrote
at 4:58pm
No, is it possible for a SINGLE individual of a population to experience stochastic motion with regard to BoA? In a time that is several orders of magnitude less than that required by evolution? =D
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<p>I wrote
at 4:57pm
“Then perhaps it is an advantage to be purely stochastic in terms of movement in and out of basins of attraction? =D Is it physically possible? Is it within the limitations of the [current] human brain?”</p>
<p>It is possible in evolutionary theory: genetic drift is a form of stochastic motion. So yes.
We call this noise in this model (as Gell-Mann also phrases it). But this change is far slower than any other form of change, as we can see in the form of societal influences in this model)
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<p>I wrote
at 4:56pm
in such basin. There is still noise, and there are still factors that try to pull me out of the basin of attraction (we can visualize a spaceprobe that suddenly decides to release matter into the antimatter chamber, which helps exerting a force against such basin of attraction). But eventually it is increasingly difficult to pull itself out of it.</p>
<p>ONe problem is that this theory does not account for event horizons or singularities. ^Y_^
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<p>X (no network) wrote
at 4:55pm
Then perhaps it is an advantage to be purely stochastic in terms of movement in and out of basins of attraction? =D Is it physically possible? Is it within the limitations of the [current] human brain?
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<p>I wrote
at 4:54pm
"“Gravity wells are a subset of basins of attractions, for example. And they don’t generalize equal inertia/momentum/velocity. They allow for the calculations of inertia/momentum/velocity to take place and simplify the conceptualization of such calculations. ^_^”</p>
<p>LAWL. Now we have delved into purely physical terms. Define, then, in mathematical terms, the basin of attraction that you think of – INCLUDING such subjective measures that allow one to easily [or not so easily] fall into a “Basin of Attraction”. =D"</p>
<p>Okay.</p>
<p>For me, my basin of attraction is the interests/attitudes/beliefs that I hold. Such interests/beliefs/attitudes tend to be self-reinforcing. As for what allows me to easily fall into it - my personality, intelligence, and the environment at hand. All of those intrinsic qualities in myself - they exert different pulls in each direction. Eventually, one of the influences (or many of them) are going to pull me towards one basin, and then I go deeper and deeper in such bas
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<p>I wrote
at 4:52pm
to pull out of such wells. It’s difficult to pull me out of the well that I found myself in now. =D It’s also difficult to pull George W. Bush out of the well he found himself in. Oftentimes this occurs since beliefs, attitudes, and knowledge are self-reinforcing, in that they help the person realize that there is opportunity cost involved in abandoning such beliefs/attitudes/knowledge in pursuit of another basin of attraction/well
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<p>X(no network) wrote
at 4:52pm
“Gravity wells are a subset of basins of attractions, for example. And they don’t generalize equal inertia/momentum/velocity. They allow for the calculations of inertia/momentum/velocity to take place and simplify the conceptualization of such calculations. ^_^”</p>
<p>LAWL. Now we have delved into purely physical terms. Define, then, in mathematical terms, the basin of attraction that you think of – INCLUDING such subjective measures that allow one to easily [or not so easily] fall into a “Basin of Attraction”. =D
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<p>I wrote
at 4:51pm
“Of course motion is not purely stochastic – that assumes the person is purely random in thought [and thus, follows no logical progression in reasoning as well] and is highly susceptible to environmental influences.”</p>
<p>That is what stochastic motion assumes. Mine model does not. Neither does the subset of basins of attraction known as gravity wells, and the objects that behave within gravity wells (namely, satellites).</p>
<p>“How do you define “deeper”? Having more extreme requisites? =D Requiring more time to progress to? This whole concept has been visualized in the physical sense, and it is rather inconsistent to give physical meaning to purely theoretical terms [without mathematics, that is =D]”</p>
<p>Deeper: It’s psychological. There’s one for every person. Some wells are deeper for some people than others. But for most people, it results in increased positive feedback/increased gravitational influence/increased stability towards the well (and as a result they become increasingly difficult
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<p>I shared a link
at 4:49pm
But basin is mathematically accurate! ^<em>^
<a href=“Basin - Wikipedia”>http://en.wikipedia.org/wiki/Basin</a></em>of_attraction</p>
<p>“assumes [generalizes] equal willpower, eccentricity [and all other such characteristics] amongst the population.”</p>
<p>Not necessarily. It does take different variables into account. Gravity wells are a subset of basins of attractions, for example. And they don’t generalize equal inertia/momentum/velocity. They allow for the calculations of inertia/momentum/velocity to take place and simplify the conceptualization of such calculations.
We can have substitutes for inertia/momentum/velocity in this model of how a human is influenced by basins of attraction.</p>
<p>This is different, of course, since this is a force even more complex than that of gravity (there are different wells within each basin)
Stability theory - Wikipedia, the free encyclopedia
Stability theory - Wikipedia, the free encyclopedia
<a href=“http://en.wikipedia.org/wiki/Basin_of_attraction[/url]”>http://en.wikipedia.org/wiki/Basin_of_attraction</a>
In mathematics, stability theory deals with the stability of solutions (or sets of solutions) of differential equations and dynamical systems.
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<p>X (no network) wrote
at 4:49pm
Of course motion is not purely stochastic – that assumes the person is purely random in thought [and thus, follows no logical progression in reasoning as well] and is highly susceptible to environmental influences.</p>
<p>“A deeper basin of attraction requires more push/shove.”</p>
<p>How do you define “deeper”? Having more extreme requisites? =D Requiring more time to progress to? This whole concept has been visualized in the physical sense, and it is rather inconsistent to give physical meaning to purely theoretical terms [without mathematics, that is =D]
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<p>X (no network) wrote
at 4:45pm
"Of course it is hard to leave the basin of attraction after you have entered it. "</p>
<p>The problem with this is that it assumes [generalizes] equal willpower, eccentricity [and all other such characteristics] amongst the population. Some may easily shift from basin to basin. By the way, the term “basin” is becoming rather annoying. I highly suggest that you reconsider the name. =D
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<p>I wrote
at 4:44pm
“Also, you asking me “permission” rather defeats the whole concept, seeing as one should involuntarily [subconsciously] conform to the ideas of a certain basin, and, eventually, fall into it.”</p>
<p>Haha, but voluntary conformation involves push and shove. The motion of the person is not purely stochastic, it can be pushed and shoved. A deeper basin of attraction requires more push/shove. An older person has more inertia and also required more push/shove.</p>
<p>The basin of attraction model is the most generic way to describe the model. It is the most comprehensive.
It accounts for both gravity wells around massive objects as according to general relativity and it also accounts for evolutionary theory (as Murray Gell-Mann described in “Quark and Jaguar”)
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<p>I shared a link
at 4:41pm
Of course it is hard to leave the basin of attraction after you have entered it. See my most recent reply to the thread though:</p>
<p><a href=“http://talk.collegeconfidential.com/showthread.php?t=388879[/url]”>http://talk.collegeconfidential.com/showthread.php?t=388879</a></p>
<p>Latest reply: I have accounted for it by means of noise. It’s something Murray Gell-Mann wrote in his book - this noise is what allows organisms to escape basins of attraction. Similarly, it allows people to escape their basins of attraction. They can be pushed and shoved. But this push and shove can be made large enough for them to escape them.
Basin of Attraction Theory - College D…
Basin of Attraction Theory - College Discussion
<a href=“http://talk.collegeconfidentia%5B/url%5D”>http://talk.collegeconfidentia</a>…
Basin of Attraction Theory College Confidential Cafe</p>
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<p>X(no network) wrote
at 4:39pm
Also, you asking me “permission” rather defeats the whole concept, seeing as one should involuntarily [subconsciously] conform to the ideas of a certain basin, and, eventually, fall into it.</p>
<p>Perhaps a better name would be “[Gravity] Well of Conformation”, seeing as “basin”, by some, can be taken almost literally, and “attraction” implies that one is consciously becoming “attracted” to the ideals of one basin and joining it in a moment, rather that slowly conforming to the ideals of the basin [or well] and “falling” into it.
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<p>X (no network) wrote
at 4:36pm
BasiN of attraction, yes? The concept is rather odd. First of all, you have visualized it as a “basin”; reminiscent of the structure of the groups that you describe – it is hard for one to leave after he has entered. However, this graphical representation may be flawed, and more complex, accurate designs [in the physical sense] can surely be created with a bit of thought.
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<p>I wrote
at 4:31pm
Will you grant me permission to pull you towards my basis of attraction? 
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